For the anti derivative $F(x)$ of any function $f(x)$, the derivative of $F(x) = f(x)$. Finding the anti-derivative is the process of 'undoing' derivation. Anti derivatives are *not* unique, functions typically have an infinite number of antiderivatives. > If $F(x)$ is an antiderivative of $f(x)$, the most general anti-derivative $f(x)$ is $F(x) + C$, where $C$ is an arbitrary constant. >[!seealso] [[Indefinite Integral]] >The most general anti-derivative of $f(x)$ is called the [[Indefinite Integral]]. >[!example] > $x^2$ is an anti-derivative of $2x$